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Finding the Third Proportional to 146,758.50 and 220,459.50

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Solution

The third proportional to 146,758.50 and 220,459.50 is: 331,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,758.50 : 220,459.50 = 220,459.50 : x
  2. Step 2: Convert to fraction form
    146,758.50/220,459.50 = 220,459.50/x
  3. Step 3: Cross multiply
    146,758.50x = 220,459.50 × 220,459.50
  4. Step 4: Simplify right side
    146,758.50x = 48,602,391,140.25
  5. Step 5: Solve for x
    x = 48,602,391,140.25/146,758.50
  6. Step 6: Final answer
    x = 331,172.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.